How to solve Profit & Loss Questions in RRB PO Exam?

Key Takeaways

• Learn core formulas – CP, SP, Profit/Loss %, Discount, Successive % change.
• Use quick tricks – Assume CP=100, ratio method, fraction-to-% conversions.
• Practice with PDF – Strengthen concepts and speed using the free practice set provided.

RRB PO Exam is one of the most competitive exams. The RRB PO Exam is conducted in three stages. Prelims, Mains and Interview. Out of which prelims is going to be conducted in almost a month.  In the prelims exam, questions are asked from two sections- Quantitative Aptitude and Reasoning. In the quantitative aptitude section, students need to practice a lot to get both speed and accuracy. To practice one such topic from the quants section, we have come up with a PDF and a guide on how to solve Profit & Loss questions in RRB PO Exam.

Why Profit & Loss is Important in RRB PO Exam

This is a basic concept, and it helps to solve many other questions based on simple and compound interest, as well. Usually, it is combined with percentages, simple interest and data interpretation topics, and the scope to score marks is quite high. As it mainly includes formulas. The questions that are asked require basic knowledge along with the correct application of the formula. Hence, it is one of the most important topics in RRB PO Exam. 

Key Concepts and Formulas used in Profit & Loss

Before learning the tricks, let’s revise the basic terms and formulas for better understanding. 

• Cost Price (CP): The price at which an element is purchased.
• Selling Price (SP): The price at which an element is sold.
• Profit: When the selling price of an element is higher than its cost price.
• Formula: Profit = SP – CP
• Loss: When the selling price of an element is lower than its cost price.
• Formula: Loss = CP – SP
• Profit = SP – CP
• Loss = CP – SP
• Profit (%) = {Profit/CP} × 100
• Loss (%) = {Loss/CP} × 100
• Discount = Marked Price – Selling Price
• Discount (%) = (Discount/MP) × 100
• SP= [(100+ Gain%)/ 100]x CP
• SP= [(100- Loss%)/ 100]x CP
• CP= [100/ (100+ Gain%)]x SP
• CP= [100/ (100- Loss%)]x SP

Always remember that percentages are calculated on CP, not SP, unless specifically mentioned.

Download Profit & Loss Questions PDF

In this section, we are providing you with the PDF of profit & loss questions. Practice them for better understanding and apply the strategy and formulas mentioned in the blog while practising questions. 

Download Profit & Loss Questions PDF

Common Types of Profit & Loss Questions in RRB PO

• Successive Profit or Loss
  Example: A shopkeeper gains 20% on one article and loses 10% on another. Find the overall % profit/loss if CP is the same.
  
  • Trick: Use the formula: Net % = (x + y + \{xy}{100}).
  • Here, Net % = 20 – 10 – (20×10)/100 = 20 – 10 – 2 = 8% profit.
• Direct Formula-Based Questions
  Example: An article is bought for ₹500 and sold at a profit of 20%. Find the SP.
  
  • Solution: SP = 500 × (1 + 20/100) = ₹600.

• Discount-Based Questions
  Example: A shopkeeper marks an article 25% above CP and allows a discount of 10%. Find the profit %.
  
  • Solution: Assume CP = 100. Marked Price = 125. After 10% discount, SP = 112.5. Profit = 12.5%.

• Dishonest Shopkeeper Problems
  Example: A shopkeeper cheats by using 900g instead of 1kg but sells at CP. Find his gain %.
  
  • Solution: He gives goods worth 900g but charges for 1000g. Profit = (1000–900)/900 × 100 = 11.11%.

• Mixed Questions with Ratios
  Example: The ratio of CP to SP is 4:5. Find the profit %.
  
  • Solution: Profit% = (SP–CP)/CP × 100 = (5–4)/4 × 100 = 25%.

Tricks to Save Time while solving questions

1. Assume CP = 100

This trick makes percentage-based profit/loss problems super quick to resolve.

Example: A shopkeeper sells an article at 20% profit.

• Assume Cost Price (CP) = 100.
• Profit = 20% of 100 = 20.
• So, Selling Price (SP) = 100 + 20 = 120.

If the question asks: What is the profit percentage?

• Profit = 20, CP = 100 → Profit% = ( {20}/{100}/ 100 = 20%).
  

2. Use Ratio Method

If CP:SP is given, you can directly find profit or loss percentage.

Example:
Suppose CP:SP = 5:6.

• That means CP = 5, SP = 6.
• Profit = 6 – 5 = 1.
• Profit% = ( {1}\{5} \times 100 = 20%).

Similarly, if CP:SP = 20:19,

• Loss = 20 – 19 = 1.
• Loss% = ( {1}\{20} \times 100 = 5%).

No need to assume CP = 100 here, the ratio itself is enough.

3. Memorize Common Fractions

Knowing fraction-to-percentage conversions saves time in exams or mental math.

Examples:

• ({1}\{8} = 12.5% ). So if you save 1/8 of your salary, you’re saving 12.5%.
• ({1}\{5} = 20% ). If you spend 1/5 of your income on rent, that’s 20%.
• ({1}\{3} \approx 33.33% ). If 1 out of 3 students passed, that’s about 33.33%.

This avoids doing long division every time you need to solve the questions. 

4. Shortcut for Successive Changes

When two percentage changes happen one after another, use:

[ {Net % change} = x + y +{xy}\{100} ]

Example:
A price increases by 20% and then decreases by 10%.

• ( x = +20, ; y = -10 ).
• Net% = ( 20 + (-10) +{20 \times -10}\{100} ).
• Net% = ( 10 – 2 = 8% ).

So, the overall effect is an 8% increase.

Another case: If a salary is increased by 25% and then again by 20%,

• Net% = ( 25 + 20 +{25 \times 20}\{100} = 45 + 5 = 50% ).
  So the salary rises by 50% overall.

Disclaimer: The profit and loss practice questions and related content provided on the PracticeMock blog for the RRB PO exam are intended solely for educational and preparatory purposes. They are not officially affiliated with or endorsed by the Institute of Banking Personnel Selection (IBPS), the Railway Recruitment Board (RRB), or any other examination authority. While efforts have been made to ensure accuracy and relevance, exam formats and question styles may change, and candidates should always consult official notifications for the latest updates. All rights to the materials remain with PracticeMock, and unauthorised redistribution may violate copyright. Use of these resources is at the reader’s own discretion, and no guarantees are made regarding exam success or performance outcomes.

Step-by-Step Strategy to prepare Profit & Loss for RRB PO

In this section, we are going to discuss the step-by-step strategy to prepare Profit & loss topic for RRB PO Exams. 

1. Clear basics around the topic

Before solving Profit and Loss problems, it is necessary to strengthen your foundation in percentages and ratios. These two concepts form the backbone of almost every profit and loss question. For example, understanding that profit percentage is always calculated on the cost price, while discount percentage is on the marked price, requires comfort with percentages. Similarly, ratios help in comparing the cost price, selling price, and profit margins effectively. Without this clarity, formulas will feel mechanical and confusing. Spend time revising percentage increase/decrease, ratio simplifications, and their applications in daily life. Once these basics are solid, Profit & Loss becomes much easier to grasp.

2. Learn All Formulas of Profit & Loss

Profit & loss questions often demand quick recall of formulas like Profit = SP – CP, Profit% = (Profit/CP) × 100, or Discount = MP – SP. Writing these formulas in a dedicated notebook and revising them daily ensures they become second nature. Don’t just memorise, understand why each formula works. For instance, knowing why the profit percentage is based on the cost price rather than the selling price prevents silly mistakes. Also, note down variations like successive discounts, false weights, or marked-up prices. A formula sheet becomes your quick reference guide, and daily revision strengthens retention, making you faster and more confident in exams.

3. Practice Topic-Wise Questions

Start with simple formula-based problems to build confidence. For example, calculate profit when CP = ₹100 and SP = ₹120. Once you’re comfortable, gradually move to trickier problems like successive discounts, where two discounts are applied one after another, or dishonest shopkeeper problems involving false weights. These require logical application of formulas rather than direct substitution. Topic-wise practice ensures you master one concept before moving to the next, reducing confusion. It also helps you identify weak areas early. By progressing from easy to complex, you’ll develop both accuracy and problem-solving speed, which are crucial for competitive exams. Although you need to solve at least 100 questions on this topic to become proficient at it.

4. Time Yourself

In exams, speed is as important as accuracy. Ideally, you should solve each Profit & Loss question within 30-40 seconds. To achieve this, practice solving questions with a timer. Initially, focus on accuracy without worrying about time. Once you’re confident, start timing yourself and aim to reduce the time taken to solve questions gradually. This builds exam temperament and prevents panic under pressure. Training yourself under time constraints ensures efficiency and confidence on exam day.

5. Mock Tests & Previous Papers

Solving mock tests and previous year papers is the best way to prepare for Profit & Loss. Aim to practice at least 50-100 Profit & Loss questions before the exam. This not only improves speed but also helps you recognise recurring patterns and question types. For example, you’ll notice that examiners often frame questions around successive discounts, marked price manipulations, or profit-sharing ratios. By practicing these, you’ll develop an instinct for the right approach. Mock tests also simulate real exam conditions, helping you manage time and pressure effectively. Reviewing your mistakes afterward ensures you don’t repeat them, steadily boosting your performance.

Example Practice Question

Q: A trader marks his goods 40% above CP and allows a discount of 25%. Find his profit or loss %.

Solution:

• Assume CP = 100.
• Marked Price = 140.
• After 25% discount, SP = 140 × (75/100) = 105.
• Profit = 105 – 100 = 5%.

Answer: 5% Profit.

Conclusion

Profit & Loss is one of the most rewarding topics in the RRB PO exam. With clarity in concepts along with the mastery of formulas and regular practice, you can solve these questions in seconds. To practice more such topic-wise questions, you can take our test series, where you can get such topic-wise tests that are designed as per the exam pattern by our experts after analysing previous year papers. Also, our test series comes with a Detailed Comparison with the Topper so you can compare your Time, Score, Accuracy, Correct/Wrong Answers, and even the Average Performance side-by-side.

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Disclaimer: This article has been prepared for informational and educational purposes only, based on previous exam trends, expert analysis, and publicly available data. It is not an official notification, and the Institute of Banking Personnel Selection (IBPS) — the official conducting authority for the exam — has not endorsed or released the content herein. While every effort has been made to ensure accuracy, exam patterns and question types may change, and readers are advised to verify details with official IBPS updates. The practice material and predictions provided are intended to support preparation and should not be considered guaranteed exam content. Neither the authors nor PracticeMock accept responsibility for any discrepancies, errors, or outcomes arising from reliance on this article. For official information, please refer to the notifications released by IBPS.